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Record Nr. |
UNINA9910828934003321 |
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Autore |
Jiang Boju |
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Titolo |
Lectures on Nielsen fixed point theory / / Boju Jiang |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1983] |
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©1983 |
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ISBN |
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0-8218-7600-7 |
0-8218-5014-8 |
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Descrizione fisica |
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1 online resource (122 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; 14 |
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Disciplina |
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Soggetti |
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Fixed point theory |
Covering spaces (Topology) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Based on courses given at the University of California, Berkeley, winter 1980, and at the University of California, Los Angeles, winter 1981. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Table of Contents""; ""Introduction""; ""I. Fixed point classes and the Nielsen number""; ""Â1. Lifting classes and fixed point classes""; ""Â2. The influence of a homotopy""; ""Â3. The fixed point index""; ""Â4. Nielsen number and its homotopy invariance""; ""Â5. The commutativity""; ""Â6. The least number of fixed points""; ""II. Computation of the Nielsen number""; ""Â1. Coordinates for lifting classes""; ""Â2. A lower bound for the Reidemeister number""; ""Â3. The trace subgroup of cyclic homotopies""; ""Â4. Permutations induced by cyclic homotopies"" |
""Â5. Polyhedra with a finite fundamental group""""Â6. Converses of the Lefschetz fixed point theorem""; ""III. The fixed point class functor""; ""Â1. The category of self-maps and the fixed-point-class functor""; ""Â2. Fixed point classes modulo a normal subgroup""; ""Â3. Fixed point classes of the iterates""; ""Â4. The least number of periodic points""; ""IV. Fixed point classes of a fiber map""; ""Âl. Fiber maps""; ""Â2. Fixed point classes in the fiber""; ""Â3. Essential fixed point classes in the total space""; ""Â4. Product formulas for the Nielsen number"" |
""Historical Index""""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U"" |
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